3504473280 has 336 divisors, whose sum is σ = 15029224704. Its totient is φ = 728156160.

The previous prime is 3504473251. The next prime is 3504473281. The reversal of 3504473280 is 823744053.

It is a happy number.

3504473280 is a `hidden beast` number, since 3 + 504 + 4 + 73 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3504473281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213859 + ... + 229661.

Almost surely, 2^3504473280 is an apocalyptic number.

3504473280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3504473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514612352).

3504473280 is an abundant number, since it is smaller than the sum of its proper divisors (11524751424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3504473280 is a wasteful number, since it uses less digits than its factorization.

3504473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15844 (or 15831 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3504473280 is about 59198.5918751451. The cubic root of 3504473280 is about 1518.9410445037.

The spelling of 3504473280 in words is "three billion, five hundred four million, four hundred seventy-three thousand, two hundred eighty".